22064032972800 has 4284 divisors, whose sum is σ = 106319423910420. Its totient is φ = 4494741995520.

The previous prime is 22064032972753. The next prime is 22064032972837. The reversal of 22064032972800 is 827923046022.

22064032972800 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 40 + 329 + 7 + 280 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2249712009216 + 19814320963584 = 1499904^2 + 4451328^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 760828723186 + ... + 760828723214.

Almost surely, 2^{22064032972800} is an apocalyptic number.

22064032972800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22064032972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53159711955210).

22064032972800 is an abundant number, since it is smaller than the sum of its proper divisors (84255390937620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22064032972800 is an frugal number, since it uses more digits than its factorization.

22064032972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 22064032972800 in words is "twenty-two trillion, sixty-four billion, thirty-two million, nine hundred seventy-two thousand, eight hundred".